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Finding the Fourth Proportional to 542,785.39, 748,981.69 and 313,341.76

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Solution

The fourth proportional to 542,785.39, 748,981.69 and 313,341.76 is: 432,375.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,785.39 : 748,981.69 = 313,341.76 : x
  2. Step 2: Convert to fraction form
    542,785.39/748,981.69 = 313,341.76/x
  3. Step 3: Cross multiply
    542,785.39x = 748,981.69 × 313,341.76
  4. Step 4: Simplify right side
    542,785.39x = 234,687,240,952.37
  5. Step 5: Solve for x
    x = 234,687,240,952.37/542,785.39
  6. Step 6: Final answer
    x = 432,375.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.